Another interpretation: the works were completed and they kept stretching forth and continuing. "And all their host": there are three hosts. There is a host for the heavens and the earth, as it is written, "And the heavens and the earth were finished and all their host" (Genesis 2:1). There is a host for disciples, "All the days of my host I will wait" (Job 14:14). There is a host for sufferings, "Is there not a host for man upon earth?" (Job 7:1). Rav said, and some say Rabbi Yochanan: Even an individual who prays on the eve of Sabbath must say "vayechulu," for Rav Hamnuna said: Whoever prays on the eve of Sabbath and says "vayechulu," Scripture credits it to him as though he became a partner with the Holy One, blessed be He, in the work of creation. Do not read "vayechulu" [they were finished] but "vaychallu" [they finished]. Whoever prays on the eve of Sabbath and says "vayechulu," the two ministering angels who accompany a person place their hands upon his head and say to him, "Your iniquity is removed and your sin is atoned" (Isaiah 6:7).
Saying Vayechulu Makes a Person a Partner in Creation
Yalkut Shimoni on Torah 16:15
דָּבָר אַחֵר, מְכֻלָּלִין הָיוּ הַמַּעֲשִׂים וְהָיוּ מוֹתְחִין וְהוֹלְכִין. וְכָל צְבָאָם, שָׁלֹשׁ צְבָאִים הֵן צָבָא לַשָּׁמַיִם וְלָאָרֶץ דִּכְתִיב וַיְכֻלּוּ הָשָּׁמַים וְהָאָרֶץ וְכָל צְבָאָם צָבָא לְתַלְמִידִים "כָּל יְמֵי צְבָאִי אֲיַחֵל" צָבָא לַיִּסּוּרִין (שם ז, א) "הֲלֹא צָבָא לֶאֱנוֹשׁ" "עֲלֵי אָרֶץ". אָמַר רַב וְאִיתֵּמָא ר"י, אֲפִלּוּ יָחִיד הַמִּתְפַּלֵּל בְּעֶרֶב שַׁבָּת צָרִיךְ לוֹמַר וַיְכֻלּוּ, דְּאָמַר רַב הַמְנוּנָא, הַמִּתְפַּלֵּל בְּעֶרֶב שַׁבָּת וְאוֹמֵר וַיְכֻלּוּ מַעֲלֶה עָלָיו הַכָּתוּב כְּאִלּוּ נַּעֲשָׂה שֻׁתָּף לְהַקָּדוֹשׁ בָּרוּךְ הוּא בְּמַעֲשֵׂה בְּרֵאשִׁית אַל תִּקְרֵי 'וַיְכֻלּוּ' אֶלָּא 'וַיְכַלּוּ' כָּל הַמִּתְפַּלֵּל בְּעֶרֶב שַׁבָּת וְאוֹמֵר וַיְכֻלּוּ שְׁנֵי מַלְאֲכֵי הַשָּׁרֵת הַמְּלַוִּין לוֹ לָאָדָם מַנִּיחִין יְדֵיהֶם עַל רֹאשׁוֹ וְאוֹמְרִים לוֹ (ישעיה ו, ז) "וְסָר עֲוֹנֶךָ וְחַטָּאתְךָ תְּכֻפָּר".